1. A throws a coin 3 times. If he gets a head all the three times he is to get a prize of Rs. 160. The entry fee for the game is Rs. 16. What is the mathematical expectation of A ?
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- c) The probability that Rudy passes Statistics is and the probability that he passes 7 10 English is 4 3 If the probability of passing both courses is find the probability that 5 Rudy will pass at least one of these courses.A competition offers prize money for players reaching the final. If aplayer reaches the final, he/she will get 1000 dollars. If the player winsthe final and get the champion, another 1000 dollars are offered. Now aplayer has already reached the semi-final, what’s the expectation of prizemoney he would have after the competition?← Your company bids for two contracts. You believe the probability that you get contract #1 is 0.7. If you get contract #1, the probability you also get contract #2 will be 0.5, and if you do not get contract #1, the probability that you get contract #2 will be 0.2. Complete parts a through e below. a) Are the outcomes of the two contracts bids independent? Explain. OA. No; the outcome of the first contract determines the probability of getting the second contract. OB. No; no events are independent. OC. Yes; the outcome of the first contract has no impact on the second contract. OD. Yes; all events are independent. b) Find the probability you get both contracts. (Type an integer or a decimal. Do not round.) c) Find the probability you get neither contracts. (Type an integer or a decimal. Do not round.) d) Let X be the number of contracts you get. Find the probability model for X. 0 1 2 X P(x) (Type integers or decimals. Do not round.) e) Find the expected value and standard deviation…
- A buyer and a seller are bargaining over the sale of an object. The buyer knows that the seller values the object $0 with a probability of 0.25 and he values it $4 with a probability of 0.75. The seller knows that the buyer values the object either $1 or $5, each with a probability of 1/2. The table below shows what happens in each contingency Seller's value is $0 Seller's value is $4 Buyer's value is $1 Trade price is $1 NO TRADE Buyer's value is $5 Trade price is $p Trade price is $4 Find the interval for p such that The buyer with a valuation of $5 is not better-off reporting $1 The seller with a valuation of $0 is not better-off reporting $4. In blank 1 enter the lower value. In blank 2 enter the upper value.Please solve and dont copy wrong answers. ThankyouYou purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent
- If someone were to bet $1 on the second dozen numbers (which pays 2 to 1) in the game of roulette 33 seperate times, what is the chance that they would end up losing money?In a box, there are 6 red balls and 7 blue balls. 2 blue balls are drawn in the first and second draw. Assuming the balls are not returned, what is the probability of getting at least 2 red balls in the next three draws? a. 11/49 b. 2/13 c. 19/33 d. 12/13 show solutionsPart E and F
